If, as you say, you found that little blood after him being bedded, I would think he will live, provided it doesn't get too infected, as was already stated.
I am suprised that you would only get 6 inches of penetration at such a close shot.
How do you know that for sure?

I shot a small buck Sat. at 22 steps. I busted THROUGH one rib on the entry side and between the ribs on the exit side. Six inches penetration doesn't seem right.